Answers
The linear function f(x) = 4/5x - 9
Given,
f(-20) = -25
Slope, m = 4/5
We have to find the linear function f(x)
We know the slope-intercept form, y = mx + b
Here,
f(-20) = -25
x = -20 and y = -25
slope, m = 4/5
So, lets solve for b.
y = mx + b
-25 = 4/5 (-20) + b
-25 = 4 × (-4) + b
-25 = -16 + b
Add 16 to both sides
16 - 25 = -16 + 16 + b
We get,
-9 = b
Now, find f(x)
f(x) = 4/5x - 9
That is, the linear function f(x) = 4/5x - 9
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Related Questions
in right triangle if one angle is 44 what is the third angle
Answers
Explanation:
180°-90°-44°= 36°.
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
Answers
Answer: I need to see the graph
Step-by-step explanation:
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
Answers
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
Answer: 12
Which inequality is true when the value of U is 17
Answers
Six more than seven times a number equals 10 times the number -12
Answers
Answer:
The equation becomes
[tex]7x+6 = 10x-12[/tex]
Thus, the number = x = 6
Step-by-step explanation:
Let 'x' the number
seven times a number = 7x
Six more than seven times a number = 7x+6
10 times the number -12 = 10x-12
Given that Six more than seven times a number equals 10 times the number -12.
Thus, the equation becomes
[tex]7x+6 = 10x-12[/tex]
We can further solve for x
[tex]7x+6 = 10x-12[/tex]
[tex]6+12 = 10x-7x[/tex]
[tex]18 = 3x[/tex]
[tex]x = 6[/tex]
Thus, the number = x = 6
3/8 divided by 4????
Answers
Answer:
um Yess?
Step-by-step explanation:
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A recipe for fruit salad includes
cups of grapes for 4 servings. How many cups of grapes are needed for 30 servings of this fruit salad? {7.4D}
Answers
Answer:
u need to tell me how many cups of grapes are used for 4 servings for me to be able to answer this
Step-by-step explanation:
Solve the equation algevraically and check your solution to verify it is correct. YOU MUST SHOW YOUR WORK INSIDE THE PAGE.Place your final answer in the text box below
Answer:
Explain:
Answers
Add 6 to 11
Divide 17 by -5
please help asap will give brainliest
Answers
Answer:
of course three units ..
(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
Answers
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4
Answers
Answer: y>2x+4
Step-by-step explanation:
Just answer no work needed to show
Answers
Answer:
[tex]8*10^3[/tex]
Step-by-step explanation:
[tex]\frac{6.4*10^6}{8*10^2} \\=\frac{64*10^{-1}*10^6}{8*10^2}\\=\frac{64*10^5}{8*10^2}\\=8*10^{(5-2)}\\=8*10^3[/tex]
What is the "quotient" of two numbers?
Answers
Answer:
Result of a division
Step-by-step explanation:
Example
x / y = z
z is the quotient
halo me please I don't know what to do
Answers
g(x)=|2+x |-3 graph function
Answers
The graph of the absolute value function:
g(x) = |2 + x| - 3
Can be seen at the end of this answer.
How to graph the absolute value function?Here we want to graph the absolute value function:
g(x) = |2 + x| - 3
First, we know that the vertex of this function will be at the point (-2, -3) (is at the value of x such that the absolute value part becomes zero).
From that vertex, we just draw two lines with slope 1 to the right and -1 to the left, you should get something like the graph below.
As you can see it opens upwards, because the leading coefficient is 1 (positive).
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You are making a colorful cake for a birthday party and need to use 2 drops of food coloring for every 7 ounces of icing. How many drops of food coloring do you need if you are using
63 ounces of icing?
Answers
Answer:
18 drops of icing
Step-by-step explanation:
Well, for every 7 ounces of icing, there is 2 drops of food coloring. You must first figure out how many times 7 goes into 63.
63 ÷ 7 = 9
Ok, so 7 goes into 63, 9 times. And now you just need to double 9, because "for every 7 ounces of icing there is 2 drops of food coloring" Basically means you just double your answer. So, by doubling 9, you get 18. Therefore, there are 18 drops of food coloring in 63 ounces of icing.
63 ÷ 7 = 9
9 × 2 = 18
18 drops of food coloring
SRRY IK LAST QUESTION FOR REAL THIS TIME
Answers
Answer:
Option (A)
Step-by-step explanation:
Volume of a cylinder is given by the formula,
V = πr²h
Here r = radius of the cylinder
h = height of the cylinder
Therefore, volume of a cylinder given in the question,
V = π([tex]\frac{18}{2}[/tex])²(8)
= 648π
= 2035.8 km²
Volume of the given cylinder is 2035.8 km².
Option (A) will be the answer.
Georgia goes shopping with $80 to spend on food for a party. She buys 9 pizzas that all cost the same price, $20 worth of soda and $15 worth of ice cream. If she spent all of her money, what was the cost of each pizza?
Answers
Answer:
$5
Step-by-step explanation:
20+15=35
80-35=45
45 divided by 9 = 5
If Analissa puts 55 seeds into 11 pots, how many seeds does she put in 4 pots?
Answers
Answer: Since she puts 5 seeds per pot, I know that she will put 20 seeds in four pots.
I got this by dividing 55/11 to get the amount of seeds in one pot.
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answers
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Which of the following graphs matches the table above
Answers
Answer:
can you please take a picture so i can try to solve it
Step-by-step explanation:
if you do thank you
What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest
tenth of a centimeter?
Answers
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer: 31.9 cm
Step-by-step explanation:
Got it from deltamath so it's right
PLZ HELP!!
A family is trying to decide between two apartments, before signing a lease agreement they
are considering the cost compared to the size of the apartment. Apartment A is 1,500 square
feet for a monthly rent of $2,875 and Apartment B is 1,200 square feet for a monthly rent of
$2,425. Based on this information which apartment costs the least per square foot?
A. Apartment A
B. Apartment B
Answers
An artist is cutting pieces of glass for a stained glass window.
Please help!
Answers
Answer:
35°
Step-by-step explanation:
The important information is that the angle is complementary to the angle 55°. A complementary angle is and angle plus another that equal 90°.
55° + x° = 90°
x = 35°
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
just devide the 2 numbers thats there
Is the work below correct? If not, explain the mistake
Answers
Answer:
the answer is correct just switch the sign to less than or equal to
Step-by-step explanation:
Divide and simplify.
(-7)+(-7)
=
Answers
Step-by-step explanation:
=-7-7
=-14
HOPE THIS HELPS
Find the value of x. Give reasons to justify your answer.
Answers
10x=180°
180/10x
x=18
6x and 4x are alternate interior angles and they can be added to each other to create a product of 180.
1. What is the place value of the 9 in 0.964?*
Answers
Answer:
0.9
Step-by-step explanation:
remove all the other digits OR
divide by ten after the d. p.
An architect has designed two tunnels. Tunnel A is modeled by x2 + y2 + 28x + 52 = 0, and tunnel B is modeled by x2 – 36x + 16y + 68 = 0, where all measurements are in feet. The architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.
Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work. (4 points)
Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work. (4 points)
Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work. (7 points)
Answers
From the situation described, we have that:
a) Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.
b) Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.
c) The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
For Tunnel A, the equation is given by:
x² + y² + 28x + 52 = 0
Completing the squares:
(x + 14)² + y² = -52 + 14²
(x + 14)² + y² = 144.
Hence:
Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]For Tunnel B, the equation is given as follows:
x² - 36x + 16y + 68 = 0.
16y = -x² + 36x - 68.
Simplifying by 16:
y = -0.0625x² + 2.25x - 4.25.
Hence the coefficients are a = -0.0625, b = 2.25, c = -4.25, and the maximum height is:
[tex]y_v = -\frac{(2.25)^2 - 4(-0.0625)(-4.25)}{4(-0.0625)} = 16[/tex]
The width is the difference between the roots, which, using a calculator, are:
2 and 34, hence the width is of 32 feet.
Then:
Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.
For item c, we have that:
The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.
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